609600 has 84 divisors (see below), whose sum is σ = 2015744. Its totient is φ = 161280.

The previous prime is 609599. The next prime is 609601. The reversal of 609600 is 6906.

It is an interprime number because it is at equal distance from previous prime (609599) and next prime (609601).

It is a super-2 number, since 2×609600² = 743224320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (609601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4737 + ... + 4863.

2⁶⁰⁹⁶⁰⁰ is an apocalyptic number.

609600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007872).

609600 is an abundant number, since it is smaller than the sum of its proper divisors (1406144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

609600 is a wasteful number, since it uses less digits than its factorization.

609600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 609600 is about 780.7688518377. The cubic root of 609600 is about 84.7907192881.

The spelling of 609600 in words is "six hundred nine thousand, six hundred".